answer question

Question

The total radiation energy E emitted by a heated surface per unit area varies as the fourth power of its absolute temperature T. The temperature is 6,000 K at the surface of the sun and 600 K at the surface of a given planet.

(a)

How many times more radiation energy per unit area is produced by the sun than by the planet?

(b)

Suppose the radius of the planet is 3,480 mi, and the radius of the sun is 435,000 mi. How many times more total radiation does the sun emit than the planet?

Answer 1

a) E_S/E_E = T_S⁴/T_E⁴

b) Total Radiation is Radiation flux time area (4πR²)

Again, using ratios, E_ST/E_ET = E_S/E_E * R_S²/R_E²